Question 473463

{{{3/(y+4) - 5/(y-4) = 10/(y^2-16)}}}


{{{(3(y-4))/((y+4)(y-4)) - (5(y+4))/((y-4)(y+4)) = 10/(y^2-16)}}}



{{{((3(y-4)) - (5(y+4)))/(y^2-16) = 10/(y^2-16)}}}...cross multiply


{{{(((3y-12)) - ((5y+20)))(y^2-16) = 10(y^2-16)}}}.....reduce


{{{(3y-12 -5y-20)cross((y^2-16)) = 10cross((y^2-16))}}}


{{{ -2y-32 = 10}}}.....multiply by {{{-1}}}

{{{ 2y+32 = -10}}}

{{{ 2y = -10-32}}}

{{{ 2y = -42}}}

{{{ y = -21}}}